Topic

Equations 2.

Addition-, subtraction –like operations on equations, and operations on equations with negative signs.

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Equations 2.

Rearranging to different sides:

If an equation has been arranged to zero and on one side there is both the unknown term and the constant term, then we move the constant term to the other side of the equation.

Grouping the constant terms:

If there are some constant terms on both sides of the equation, we move the constant terms adjacent to the unknown terms to the other side of the equation, next to the other constant.

Cancelling out the negative sign (asymmetrical):

If the term on one side of the equation has a negative sign and the other side is zero, we multiply the equation with negative 1. Hence, we cancel out the negative term.

Cancelling out the negative sign (symmetrical):

If there is one term on both sides of the equation and both has a negative sign, we multiply the equation with negative 1. Hence, we cancel out the negative signs in both of the terms.

Moving the negative sign:

If one of the unknowns on one side of the equation has a negative sign, we multiply the equation with negative 1. Hence, the negative sign is moved to the other side of the equation.

Rearranging to different sides (in case of unknown term with negative sign)

If an equation has been arranged to zero and on one side there is both the unknown term and the constant term, then we move the constant term to the other side of the equation.

Grouping constant-terms (in case of unknown terms with negative signs)

If there are some constant terms on both sides of the equation, we move the constant terms adjacent to the unknown terms to the other side of the equation, next to the other constant.

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